What is the Least Common Multiple of 63038 and 63048?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 63038 and 63048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63038 and 63048, than apply into the LCM equation.

GCF(63038,63048) = 2
LCM(63038,63048) = ( 63038 × 63048) / 2
LCM(63038,63048) = 3974419824 / 2
LCM(63038,63048) = 1987209912

Least Common Multiple (LCM) of 63038 and 63048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63038 and 63048. First we will calculate the prime factors of 63038 and 63048.

Prime Factorization of 63038

Prime Factorization of 63048

Now multiplying the highest exponent prime factors to calculate the LCM of 63038 and 63048.

LCM(63038,63048) = 2³ × 43¹ × 733¹ × 3¹ × 37¹ × 71¹
LCM(63038,63048) = 1987209912